The position vector of a butterfly that is flying parallel to the ground is given as a function of time by 𝑟⃑= [2.90 𝑚 + (0.0900 𝑚/𝑠^2)𝑡^2]𝑖̂ − (0.0150 𝑚/𝑠^3)𝑡^3𝑗̂
a. At what value of 𝑡 does the velocity vector of the insect make an angle 30.0° clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the acceleration vector of the insect?
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